Chapter 3: Probability Topics

Forty-eight percent of all Californians registered voters prefer life in prison without parole over the death penalty for a person convicted of first degree murder. Among Latino California registered voters, $55\%$prefer life in prison without parole over the death penalty for a person convicted of first degree murder. $37.6\%$of all Californians are Latino.

In this problem, let:

• C = Californians (registered voters) preferring life in prison without parole over the death penalty for a person convicted of first degree murder.
• L = Latino Californians

Suppose that one Californian is randomly selected.

Are L and C mutually exclusive events? Show why or why not.

Use the following information to answer the next four exercises. Table $3.15$shows a random sample of musicians and how they learned to play their instruments.

Find P(musician is a female).

The table shows a random sample of musicians and how they learned to play their instruments.

Find P(musician is a female).

Use the following information to answer the next four exercises. Table $3.15$ shows a random sample of musicians and how they learned to play their instruments

Find P(musician is a male AND had private instruction).

The table shows a random sample of musicians and how they learned to play their instruments.

Find P(Musician is a male and had private instruction).

Use the following information to answer the next four exercises. Table 3.15 shows a random sample of musicians and how they learned to play their instruments.

Find P(musician is a female OR is self taught).

The given table shows a random sample of musicians and how they learned to play their instruments.

Find P(musician is a female OR is self taught).

Use the following information to answer the next four exercises. Table $3.15$shows a random sample of musicians and how they learned to play their instruments.

Are the events “being a female musician” and “learning music in school” mutually exclusive events?

The table shows a random sample of musicians and how they learned to play their instruments.

Are the events “being a female musician” and “learning music in school” mutually exclusive events?

The probability that a man develops some form of cancer in his lifetime is $0.4567$. The probability that a man has at least one false positive test result (meaning the test comes back for cancer when the man does not have it) is $0.51$ Let: C = a man develops cancer in his lifetime; P = man has at least one false positive. Construct a tree diagram of the situation.